A generalization of the Haddock conjecture and its proof

DOI10.1016/J.NONRWA.2007.02.006zbMath1217.34122OpenAlexW2070967547MaRDI QIDQ933579

Taishan Yi

Publication date: 21 July 2008

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2007.02.006

zbMATH Keywords

asymptotic behaviorneutral delay differential equationconstantHaddock's conjecture

Mathematics Subject Classification ID

Asymptotic theory of functional-differential equations (34K25) Neutral functional-differential equations (34K40)

Related Items (4)

Convergence in a system of critical neutral functional differential equations ⋮ Asymptotic behavior of bounded solutions for a system of neutral functional differential equations ⋮ Dynamic behavior for a class of neutral functional differential equations ⋮ A NEW GENERALIZATION OF THE HADDOCK CONJECTURE

Cites Work

• About the behaviour at infinity of solutions of \(x'(t)=f(t-1,x(t-1))-f(t,x(t))\).
• Liapunov-Razumikhin functions and an invariance principle for functional differential equations
• Asymptotic constancy for pseudo monotone dynamical systems on function spaces
• A periodicity threshold theorem for epidemics and population growth
• An invariance principle of Lyapunov-Razumikhin type for neutral functional differential equations
• Asymptotic periodicity, monotonicity, and oscillation of solutions of scalar neutral functional differential equations
• Convergence for pseudo monotone semiflows on product ordered topological spaces
• Some equations modelling growth processes and gonorrhea epidemics
• On J. R. Haddock’s conjecture
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